Pseudo Redshifts of Gamma-Ray Bursts Derived from the L-T-E Correlation

Abstract

The X-ray afterglow of many gamma-ray bursts (GRBs) exhibits a plateau phase before the normal power-law decay stage, which may be related to continued activities of the central engine. Tang et al. 2019 collected 174 such GRBs and confirmed the so called $L-T-E$ correlation which involves three key parameters, i.e., the isotropic $\gamma$-ray energy $E_{\gamma ,\mathrm{iso}}$ of the prompt phase, the end time $T_a$ of the plateau phase and the corresponding X-ray luminosity $L_X$. In this study, the $L-T-E$ correlation is confirmed and updated as $L_X\propto T_a^{-0.99}{E}_{\gamma ,\mathrm{iso}}^{0.86}$ with a large sample consisting of 210 plateau GRBs with known redshifts. The tight correlation is then applied to derive the pseudo redshift of other 130 plateau GRBs whose redshifts are not directly measured. Statistical analysis is also carried out on this pseudo redshift sample.

26 pages, 8 figures, 2 tables

References in corpus (30)

• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• An online repository of Swift/XRT light curves of GRBs
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• A Kilonova Following a Long-Duration Gamma-Ray Burst at 350 Mpc
• Neutrino-Cooled Accretion Disks around Spinning Black Hole
• The rate, luminosity function and time delay of non-Collapsar short GRBs
• A time - luminosity correlation for Gamma Ray Bursts in the X - rays
• Properties of Gamma-Ray Burst Progenitor Stars
• Astrophysics: A burst of new ideas
• A unifying view of Gamma Ray Burst Afterglows
• A New Paradigm for Gamma Ray Bursts: Long Term Accretion Rate Modulation by an External Accretion Disk
• The X-ray fundamental plane of the Platinum Sample, the Kilonovae and the SNe Ib/c associated with GRBs
• Optical and X-ray GRB Fundamental Planes as Cosmological Distance Indicators
• Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• Study of possible systematics in the L*X - Ta* correlation of Gamma Ray Bursts
• The Optical Luminosity-Time Correlation for More Than 100 Gamma-Ray Burst Afterglows
• Selection effects in Gamma Ray Bursts correlations: consequences on the ratio between GRB and star formation rates
• Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
• Model independent calibrations of gamma ray bursts using machine learning
• The formation rate of short gamma-ray bursts and gravitational waves
• The Optical Two and Three-Dimensional Fundamental Plane Correlations for Nearly 180 Gamma-Ray Burst Afterglows with Swift/UVOT, RATIR, and the SUBARU Telescope
• Tracing dark energy history with gamma ray bursts
• High-redshift cosmography: Application and comparison with different methods
• The Bright Reverse Shock Emission in the Optical Afterglows of Gamma-ray Bursts in a Stratified Medium
• GRB 211211A: a Prolonged Central Engine under a Strong Magnetic Field Environment
• Statistical analyses on the energies of X-ray plateaus and flares in gamma-ray bursts
• Precessing magnetars as central engines in short gamma-ray bursts
• Early Evolution of a Newborn Magnetar with Strong Precession Motion in GRB 180620A
• Modelling the luminosity function of long Gamma Ray Bursts using SWIFT and FERMI

Cited by in corpus (6)

• An analytic derivation of the empirical correlations of gamma-ray bursts
• Constraints on the cosmological parameters with three-parameter correlation of Gamma-ray bursts
• EP241021a: a months-duration X-ray transient with luminous optical and radio emission
• GRB Redshift Estimation using Machine Learning and the Associated Web-App
• Standardizing the Gamma-ray burst as a standard candle and applying to the cosmological probes: constraints on the two-component dark energy model
• On the Feasibility of Deriving Pseudo-Redshifts of Gamma-ray Bursts from Two Phenomenological Correlations